2400468 has 72 divisors (see below), whose sum is σ = 6947136. Its totient is φ = 629760.

The previous prime is 2400413. The next prime is 2400469. The reversal of 2400468 is 8640042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58528 + ... + 58568.

It is an arithmetic number, because the mean of its divisors is an integer number (96488).

2^2400468 is an apocalyptic number.

2400468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473568).

2400468 is an abundant number, since it is smaller than the sum of its proper divisors (4546668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2400468 is a wasteful number, since it uses less digits than its factorization.

2400468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2400468 is about 1549.3443774707. The cubic root of 2400468 is about 133.8952920792.

Subtracting from 2400468 its product of nonzero digits (1536), we obtain a palindrome (2398932).

The spelling of 2400468 in words is "two million, four hundred thousand, four hundred sixty-eight".